Which of these is a corner point of the feasible region of $x + y \le 6$, $x \ge y$, $x \ge 0$, $y \ge 0$?

Explanation

1. 01

   The lines $x + y = 6$ and $y = x$ meet at $(3, 3)$, which satisfies every constraint.

2. 02

   $(0, 6)$ and $(2, 4)$ break $x \ge y$; $(6, 6)$ breaks $x + y \le 6$. The corners are $(0, 0)$, $(6, 0)$, $(3, 3)$.